A+A→A, B+A→A

IF 1.2 2区数学 Q3 STATISTICS & PROBABILITY

Stochastic Processes and their Applications Pub Date : 2025-09-08 DOI:10.1016/j.spa.2025.104766

Roger Tribe, Oleg Zaboronski

引用次数: 0

Abstract

This paper considers the decay in particle intensities for a translation invariant two species system of diffusing and reacting particles on

Z^{d}

for

d \geq 3

. The intensities are shown to approximately solve modified rate equations, from which their polynomial decay can be deduced. The system illustrates that the underlying diffusion and reaction rates can influence the exact polynomial decay rates, despite the system evolving in a supercritical dimension.

查看原文本刊更多论文

+一个→A、B +一个→

本文考虑了平移不变的两种扩散和反应粒子系统在Zd上对d≥3时粒子强度的衰减。强度可以近似求解修正速率方程，由此可以推导出它们的多项式衰减。该系统表明，尽管系统在超临界维度上演化，但潜在的扩散和反应速率可以影响精确的多项式衰减速率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Stochastic Processes and their Applications 数学-统计学与概率论

CiteScore

2.90

自引率

7.10%

发文量

180

审稿时长

23.6 weeks

期刊介绍： Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests. Characterization, structural properties, inference and control of stochastic processes are covered. The journal is exacting and scholarly in its standards. Every effort is made to promote innovation, vitality, and communication between disciplines. All papers are refereed.